Abstract: A control algorithm that determines one or more deviations in an orbit of a companion satellite, and control the companion satellite to minimize effects of perturbing forces.

Abstract: A control algorithm that determines one or more deviations in an orbit of a companion satellite, and control the companion satellite to minimize effects of perturbing forces.

Abstract: A control algorithm that determines one or more deviations in an orbit of a companion satellite, and control the companion satellite to minimize effects of perturbing forces.

Abstract: A deployment algorithm that populate a group of companion satellites around a center satellite, and a control algorithm for maintaining the companion satellites in close formation around the center satellite.

Abstract: A grinding assembly includes a motor with a transmission pipe connected thereto and a male connector is connected to the transmission pipe. A spiral pipe is received in the transmission pipe and a steel cable extends through the spiral pipe. A distal end of the steel cable is connected to a driving member which extends through a passage in the male connector. A handle has a female connector which is connected with the male connector. The female connector includes an axle received therein which includes a connection hole defined in a first end thereof. The driving member is engaged with the connection hole. A grinding wheel is connected to a second end of the axle. A bearing is received in the male connector and the driving member extends through the bearing so that when the driving member rotates, the driving member does not contact with an inner periphery of the passage and can be operated at high speed.

Abstract: A deployment method maintains a cluster of subsatellites within a rigid formation relative to and orbiting about a real or fictitious center satellite that in turn orbits the earth in a frozen inclined eccentric reference orbit by determining the subsatellite reference orbits of the each of the subsatellites based upon position and velocity vectors of the center satellite. The determined subsatellite reference orbits can then be maintained through fuel efficient microthrusting so as to maintain the rigid formation for coherently combining communication signals within a very large sparse antenna array formed by the cluster having improved beam directionality for improved signal communications.